41013 has 24 divisors (see below), whose sum is σ = 72960. Its totient is φ = 22680.

The previous prime is 41011. The next prime is 41017. The reversal of 41013 is 31014.

It is not a de Polignac number, because 41013 - 2¹ = 41011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

41013 is a lucky number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 40986 and 41004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1308 + ... + 1338.

It is an arithmetic number, because the mean of its divisors is an integer number (3040).

2⁴¹⁰¹³ is an apocalyptic number.

It is an amenable number.

41013 is a deficient number, since it is larger than the sum of its proper divisors (31947).

41013 is a wasteful number, since it uses less digits than its factorization.

41013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 41013 is about 202.5166659809. The cubic root of 41013 is about 34.4858164760.

Adding to 41013 its reverse (31014), we get a palindrome (72027).

Subtracting from 41013 its reverse (31014), we obtain a palindrome (9999).

The spelling of 41013 in words is "forty-one thousand, thirteen".